Stability analysis of Bilinear Iterative Rational Krylov Algorithm

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convergence of the Iterative Rational Krylov Algorithm

The iterative rational Krylov algorithm (IRKA) of Gugercin et al. (2008) [8] is an interpolatory model reduction approach to the optimal H2 approximation problem. Even though the method has been illustrated to show rapid convergence in various examples, a proof of convergence has not been provided yet. In this note, we show that in the case of state-space-symmetric systems, IRKA is a locally co...

متن کامل

Iterative Dual Rational Krylov and Iterative SVD-Dual Rational Krylov Model Reduction for Switched Linear Systems

In this paper, we propose two models reduction algorithms for approximation of large-scale linear switched systems. We present at first the iterative dual rational krylov approach, that construct a union of krylov subspaces. The iterative dual rational Krylov is low in cost, numerical efficient but the stability of reduced system is not always guaranteed. In the second part we present, the iter...

متن کامل

L2-optimal model reduction for unstable systems using iterative rational Krylov algorithm

Unstable dynamical systems can be viewed from a variety of perspectives. We discuss the potential of an inputoutput map associated with an unstable system to represent a bounded map from L2(R) to itself and then develop criteria for optimal reduced order approximations to the original (unstable) system with respect to an L2-induced Hilbert-Schmidt norm. Our optimality criteria extend the Meier-...

متن کامل

Rational Krylov for Nonlinear Eigenproblems, an Iterative Projection Method

In recent papers Ruhe [10], [12] suggested a rational Krylov method for nonlinear eigenproblems knitting together a secant method for linearizing the nonlinear problem and the Krylov method for the linearized problem. In this note we point out that the method can be understood as an iterative projection method. Similar to the Arnoldi method presented in [13], [14] the search space is expanded b...

متن کامل

A Parametric Model Order Reduction Method Using the Loewner Framework and the Iterative Rational Krylov Algorithm

Linear dynamical systems play a large role in predicting the behavior of physical phenomena, and computational efficient methods of forming solutions to these systems are of great interest. These systems often depend on a set of physical parameters, and it can be the case that solutions are required for many different sets of parameter values. Systems of this nature can also be of large dimensi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2018

ISSN: 0024-3795

DOI: 10.1016/j.laa.2017.10.006